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Finding the Third Proportional to 1,071,394.78 and 2,288,092.78

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Solution

The third proportional to 1,071,394.78 and 2,288,092.78 is: 4,886,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,394.78 : 2,288,092.78 = 2,288,092.78 : x
  2. Step 2: Convert to fraction form
    1,071,394.78/2,288,092.78 = 2,288,092.78/x
  3. Step 3: Cross multiply
    1,071,394.78x = 2,288,092.78 × 2,288,092.78
  4. Step 4: Simplify right side
    1,071,394.78x = 5,235,368,575,608.36
  5. Step 5: Solve for x
    x = 5,235,368,575,608.36/1,071,394.78
  6. Step 6: Final answer
    x = 4,886,498.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.